Results on spirallike <em>p</em>-valent functions

Results on spirallike <em>p</em>-valent functions

In this paper, we introduce two new subclasses of p-valent spirallike functions of order α:We prove necessary and suffcient conditions for these newly defined classes and also point out someknown consequences of our results.

Bibliographic Details
Main Authors: Nazar Khan, Qazi Zahoor Ahmad, Tooba Khalid, Bilal Khan
Format: Article
Language:English
Published: AIMS Press 2018-01-01
Series:AIMS Mathematics
Subjects:
spirallike function| <em>p</em>-valent function| necessary and suffcient conditions
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.1.12/fulltext.html
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spelling doaj-7b80321008c14e36b65c5bb913c716fd2020-11-25T02:35:45ZengAIMS PressAIMS Mathematics2473-69882018-01-0131122010.3934/Math.2018.1.12Results on spirallike <em>p</em>-valent functionsNazar Khan0Qazi Zahoor Ahmad1Tooba Khalid2Bilal Khan3Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad, PakistanIn this paper, we introduce two new subclasses of p-valent spirallike functions of order α:We prove necessary and suffcient conditions for these newly defined classes and also point out someknown consequences of our results.http://www.aimspress.com/article/10.3934/Math.2018.1.12/fulltext.htmlspirallike function| <em>p</em>-valent function| necessary and suffcient conditions
collection DOAJ
language English
format Article
sources DOAJ
author Nazar Khan
Qazi Zahoor Ahmad
Tooba Khalid
Bilal Khan
spellingShingle Nazar Khan
Qazi Zahoor Ahmad
Tooba Khalid
Bilal Khan
Results on spirallike <em>p</em>-valent functions
AIMS Mathematics
spirallike function| <em>p</em>-valent function| necessary and suffcient conditions
author_facet Nazar Khan
Qazi Zahoor Ahmad
Tooba Khalid
Bilal Khan
author_sort Nazar Khan
title Results on spirallike <em>p</em>-valent functions
title_short Results on spirallike <em>p</em>-valent functions
title_full Results on spirallike <em>p</em>-valent functions
title_fullStr Results on spirallike <em>p</em>-valent functions
title_full_unstemmed Results on spirallike <em>p</em>-valent functions
title_sort results on spirallike <em>p</em>-valent functions
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2018-01-01
description In this paper, we introduce two new subclasses of p-valent spirallike functions of order α:We prove necessary and suffcient conditions for these newly defined classes and also point out someknown consequences of our results.
topic spirallike function| <em>p</em>-valent function| necessary and suffcient conditions
url http://www.aimspress.com/article/10.3934/Math.2018.1.12/fulltext.html
work_keys_str_mv AT nazarkhan resultsonspirallikeempemvalentfunctions
AT qazizahoorahmad resultsonspirallikeempemvalentfunctions
AT toobakhalid resultsonspirallikeempemvalentfunctions
AT bilalkhan resultsonspirallikeempemvalentfunctions
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